An algebraic model for rational torus-equivariant spectra

被引：13

作者：

Greenlees, J. P. C. ^{[1
]}

Shipley, B. ^{[2
]}

机构：

[1] Warwick Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England

[2] Univ Illinois, Dept Math Stat & Comp Sci, 508 SEO M-C 249,851 S Morgan St, Chicago, IL 60607 USA

来源：

JOURNAL OF TOPOLOGY | 2018年 / 11卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

55N91; 55P42; 55P62; 55P91 (primary); MODULE SPECTRA; HOMOTOPY THEORY; CATEGORIES; ADJUNCTIONS; COHOMOLOGY;

D O I：

10.1112/topo.12060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a universal de Rham model for rational G-equivariant cohomology theories for an arbitrary torus G. More precisely, we show that the representing category, of rational G-spectra, is Quillen equivalent to the explicit small and calculable algebraic model dA(G) of differential graded objects in the category A(G) introduced in [Greenlees, J. Pure Appl. Algebra 212 (2008) 72-98].

引用

页码：666 / 719

页数：54

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